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Five-Brane Thermodynamics from the Matrix Model

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arxiv hep-th/0310286 v2 pith:BPGHSDTP submitted 2003-10-30 hep-th

classification hep-th
keywords backgroundfive-branematrixmodeltheorytransitionhagedornm-theory
verification ladder T0 review T1 audit T2 compute T3 formal
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A certain sector of the matrix model for M-theory on a plane wave background has recently been shown to produce the transverse five-brane. We consider this theory at finite temperature. We find that, at a critical temperature it has a Gross-Witten phase transition which corresponds to deconfinement of the matrix model gauge theory. We interpret the phase transition as the Hagedorn transition of M-theory and of type II string theory in the five-brane background. We also show that there is no Hagedorn behaviour in the transverse membrane background case.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Double--Scaling Large--\(d\) Saddle of BFSS/BMN Matrix Quantum Mechanics

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A double-scaling large-d saddle for mass-deformed BFSS/BMN matrix QM interpolates between commutator-dominated and mass-dominated regimes, yielding BFSS_{2}-like low-T uniform-holonomy dynamics and IKKT-like high-T al...

  2. Finite-temperature phase diagram of the BMN matrix model on the lattice

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

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